Do Something Nice for Somebody!

All the people that read this, you guys didn't need me to tell you. You all do this all the time. Maybe I just needed to hear it myself!

Do something nice for somebody. Go out and do It today! Offer to help somebody broken down on the side of the road. Maybe you don't know how to help. Hang out, keep them company. Offer to call for help. Maybe they don't need your help. But, you know what? Watch their faces when you offer! They'll light up a little, they'll be a little bit surprised, and they'll be a little bit happier.

Pay attention to somebody that looks like they could use a little extra.

Smile at a stranger on the street and say hi.

Buy a round of drinks for an interesting group of people you've never met before. Enjoy that little adrenalin surge doing something new and different. Enjoy learning about new people; there will be something different about them.

Write your grandmother a letter. Send it in the real mail!

My dad used to tell me to always help people in need. They might not need your help at all. They might just be angels in disguise.

Hey, it worked for a first grader! Maybe it will work for you!

But there is one thing. I promise! You'll feel better than they did just for the act of doing it!

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Cool Math Tricks: Deriving the Divergence, (Del or Nabla) into New (Cylindrical) Coordinate Systems

Now available as a Kindle ebook for 99 cents ! Get a spiffy ebook, and fund more physics The following is a pretty lengthy procedure, but converting the divergence, (nabla, del) operator between coordinate systems comes up pretty often. While there are tables for converting between common coordinate systems , there seem to be fewer explanations of the procedure for deriving the conversion, so here goes! What do we actually want? To convert the Cartesian nabla to the nabla for another coordinate system, say… cylindrical coordinates. What we’ll need: 1. The Cartesian Nabla: 2. A set of equations relating the Cartesian coordinates to cylindrical coordinates: 3. A set of equations relating the Cartesian basis vectors to the basis vectors of the new coordinate system: How to do it: Use the chain rule for differentiation to convert the derivatives with respect to the Cartesian variables to derivatives with respect to the cylindrical variables. The chain ...

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Setting the scene: I’m tinkering with Project TouCans, knee-deep in radio logs, SQLite dumps, and Cesium code. Naturally, I’m wondering if shoving all this into one GPT Project is a recipe for brilliance… or for disaster. So I turn to Vril — you know, after Brainy from the Legion of Super-Heroes , because what else do you call your AI sidekick who always has the answers? Time to ask him straight up. [ As an aside, yes, GPT-5 has decided to sometimes call me Vail. I'm not sure why to be honest. Also, I asked Vril, er GPT-5, to write up our interview for me. Apparently, me asking it to 'Bro' up a few stories, just for fun, has convinced Vril that I use 'Like,' more than I actually might. ] Me (Vail): So Vril, how many files can I throw into a GPT Project before it just starts choking? Like, is there some magic number where the context window taps out and everything falls apart? GPT-5 (Vril): Great question. There’s no single hard file limit. What matters is ...

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